{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "07eb1bdc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.microsoft.datawrangler.viewer.v0+json": {
       "columns": [
        {
         "name": "date",
         "rawType": "datetime64[ns]",
         "type": "datetime"
        },
        {
         "name": "Close",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "High",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "Low",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "Open",
         "rawType": "float64",
         "type": "float"
        },
        {
         "name": "Volume",
         "rawType": "int64",
         "type": "integer"
        }
       ],
       "ref": "5fab9bf7-44c1-46ba-acb9-053e21e3de8b",
       "rows": [
        [
         "2025-05-05 00:00:00",
         "306.8800048828125",
         "307.6499938964844",
         "304.67999267578125",
         "305.9200134277344",
         "8924000"
        ],
        [
         "2025-05-06 00:00:00",
         "315.4800109863281",
         "315.6199951171875",
         "311.3999938964844",
         "313.1199951171875",
         "11445300"
        ],
        [
         "2025-05-07 00:00:00",
         "310.75",
         "313.260009765625",
         "310.0799865722656",
         "312.1000061035156",
         "7888300"
        ],
        [
         "2025-05-08 00:00:00",
         "304.6300048828125",
         "310.4800109863281",
         "303.04998779296875",
         "309.760009765625",
         "11927600"
        ],
        [
         "2025-05-09 00:00:00",
         "306.8399963378906",
         "308.57000732421875",
         "306.010009765625",
         "307.7900085449219",
         "6903700"
        ]
       ],
       "shape": {
        "columns": 5,
        "rows": 5
       }
      },
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Close</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Open</th>\n",
       "      <th>Volume</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2025-05-05</th>\n",
       "      <td>306.880005</td>\n",
       "      <td>307.649994</td>\n",
       "      <td>304.679993</td>\n",
       "      <td>305.920013</td>\n",
       "      <td>8924000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2025-05-06</th>\n",
       "      <td>315.480011</td>\n",
       "      <td>315.619995</td>\n",
       "      <td>311.399994</td>\n",
       "      <td>313.119995</td>\n",
       "      <td>11445300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2025-05-07</th>\n",
       "      <td>310.750000</td>\n",
       "      <td>313.260010</td>\n",
       "      <td>310.079987</td>\n",
       "      <td>312.100006</td>\n",
       "      <td>7888300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2025-05-08</th>\n",
       "      <td>304.630005</td>\n",
       "      <td>310.480011</td>\n",
       "      <td>303.049988</td>\n",
       "      <td>309.760010</td>\n",
       "      <td>11927600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2025-05-09</th>\n",
       "      <td>306.839996</td>\n",
       "      <td>308.570007</td>\n",
       "      <td>306.010010</td>\n",
       "      <td>307.790009</td>\n",
       "      <td>6903700</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 Close        High         Low        Open    Volume\n",
       "date                                                                \n",
       "2025-05-05  306.880005  307.649994  304.679993  305.920013   8924000\n",
       "2025-05-06  315.480011  315.619995  311.399994  313.119995  11445300\n",
       "2025-05-07  310.750000  313.260010  310.079987  312.100006   7888300\n",
       "2025-05-08  304.630005  310.480011  303.049988  309.760010  11927600\n",
       "2025-05-09  306.839996  308.570007  306.010010  307.790009   6903700"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 1. 读取数据\n",
    "# 数据预处理\n",
    "gld = pd.read_csv('GLD.csv')\n",
    "gld['date'] = pd.to_datetime(gld['date'])\n",
    "gld.set_index('date', inplace=True)\n",
    "gld.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c4632083",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 2. 绘制图形直观判断\n",
    "plt.figure(figsize=(6,4))\n",
    "plt.plot(gld['Close'])\n",
    "# plt.title('Gold Price Over Time')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Price (USD)')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.savefig('gld_close_price.pdf')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "e631351c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 736x460 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import mplfinance as mpf\n",
    "\n",
    "# 准备数据，mplfinance需要有DatetimeIndex和特定的列名\n",
    "gld_for_mpf = gld.copy()\n",
    "gld_for_mpf.index.name = 'Date'  # mplfinance要求index为日期\n",
    "gld_for_mpf = gld_for_mpf[['Open', 'High', 'Low', 'Close', 'Volume']]\n",
    "gld_for_mpf = gld_for_mpf.loc[gld_for_mpf.index.year == 2025]\n",
    "# 画蜡烛图\n",
    "mpf.plotting.plot(\n",
    "    gld_for_mpf,\n",
    "    type='candle',\n",
    "    style='charles',\n",
    "    volume=True,\n",
    "    # title='GLD Gold Price Candlestick Chart',\n",
    "    ylabel='Price (USD)',\n",
    "    figscale=0.8,  # Increase figure size for publication\n",
    "    figratio=(8, 5),  # Typical paper aspect ratio\n",
    "    tight_layout=True,\n",
    "    # savefig=dict(fname='gld_candlestick_2024.png', dpi=300, pad_inches=0.25)\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "df1f075e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "prophet",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
